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At time t=0, activity of a radioactive substance is 1600 {~Bq}

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At time $t = 0$ , activity of a radioactive substance is $1600 Bq$ , at $t = 8 s$ activity remains $100 Bq$ . Find the activity at $t = 2 s .$

Name: Video solution 1: At time t=0, activity of a radioactive substance is 1600 Bq, at t=8 s activity remains 100 Bq. Find the activity at t=2 s.
Uploaded: 2022-12-22T05:40:21.000Z
Duration: 3 min
Description: Video solution 1: At time t=0, activity of a radioactive substance is 1600 Bq, at t=8 s activity remains 100 Bq. Find the activity at t=2 s.

Views: 6,214 students

Updated on: Dec 22, 2022

Book:

Optics And Modern Physics (DC Pandey)

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Daniel Discussed

At time

t = 0

, activity of a radioactive substance is

1600 Bq

, at

t = 8 s

activity remains

100 Bq

. Find the activity at

t = 2 s .

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

R = R_{0} (\frac{1}{2})^{n}

Here,

n

is the number of half-lives. Given,

∴

\frac{R _{0}}{16} = R_{0} (\frac{1}{2})^{n} or n = 4

Four half-lives are equivalent to

8 s

. Hence,

2 s

is equal to one half-life. So, in one half-life activity will remain half of

1600 Bq

, i.e.

800 Bq

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Question Text	At time $t = 0$ , activity of a radioactive substance is $1600 Bq$ , at $t = 8 s$ activity remains $100 Bq$ . Find the activity at $t = 2 s .$
Updated On	Dec 22, 2022
Topic	Atoms
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	261
Avg. Video Duration	3 min

At time $t = 0$ , activity of a radioactive substance is $1600 Bq$ , at $t = 8 s$ activity remains $100 Bq$ . Find the activity at $t = 2 s .$

Text solutionVerified

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At time t=0, activity of a radioactive substance is 1600 Bq, at t=8 s activity remains 100 Bq. Find the activity at t=2 s.

Text solutionVerified

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At time $t = 0$ , activity of a radioactive substance is $1600 Bq$ , at $t = 8 s$ activity remains $100 Bq$ . Find the activity at $t = 2 s .$